Search a number
-
+
4205342413 is a prime number
BaseRepresentation
bin1111101010101000…
…0110111011001101
3101212002002112021201
43322222012323031
532103031424123
61533143025501
7206132551336
oct37252067315
911762075251
104205342413
111868895aa8
1299443b291
135203295bc
142bc72728d
151992d75ad
hexfaa86ecd

4205342413 has 2 divisors, whose sum is σ = 4205342414. Its totient is φ = 4205342412.

The previous prime is 4205342387. The next prime is 4205342429. The reversal of 4205342413 is 3142435024.

It is a happy number.

4205342413 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3346969609 + 858372804 = 57853^2 + 29298^2 .

It is a cyclic number.

It is not a de Polignac number, because 4205342413 - 221 = 4203245261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4205342473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2102671206 + 2102671207.

It is an arithmetic number, because the mean of its divisors is an integer number (2102671207).

Almost surely, 24205342413 is an apocalyptic number.

It is an amenable number.

4205342413 is a deficient number, since it is larger than the sum of its proper divisors (1).

4205342413 is an equidigital number, since it uses as much as digits as its factorization.

4205342413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 4205342413 is about 64848.6114963150. The cubic root of 4205342413 is about 1614.1124515827.

Adding to 4205342413 its reverse (3142435024), we get a palindrome (7347777437).

The spelling of 4205342413 in words is "four billion, two hundred five million, three hundred forty-two thousand, four hundred thirteen".